of Hanoi algorithm
2.- Presentation of main ideas and code
3.- Play the Puzzle!!
1.- Introduction to the algorithm of the Towers of Hanoi in Matlab
you like to get the Tower of
Hanoi algorithm? For the moment, see how you do in
this wonderful game of skill and logic...
of Hanoi is a mathematical game or puzzle. It consists of three rods,
and a number of disks of different sizes which can slide onto any rod.
The puzzle starts with the disks in a neat stack in ascending
size on one rod, the smallest at the top, and then making a conical
Try to move all the disks onto another pole. Thing is, you can only
move one disk at a time and you must follow size order (a bigger disk
can't go on a smaller disk). Good luck!
2.- Solution using recursivityThe following presentation gives you a very good idea of what recursivity is.
You can examine the full code in Matlab after the presentation.
This is the main function (the one that is going to call itself many times).
function m(n, init, temp, fin)
if n == 1
% display your move
disp([init ' to ' fin])
% move n-1 disks from A to B, with C as temp
m(n-1, init, fin, temp);
% move disk from A to C, with B as temp
m(1, init, temp, fin);
% move n-1 disks from B to C, with A as temp
m(n-1, temp, init, fin);
You can call it providing the number of disks and the names of the towers.
n = 3;
m(n, ' A', ' B', ' C')
This is the complete result of the moves for 3 disks...
A to C
A to B
C to B
A to C
B to A
B to C
A to C
3.- Play the Game!
Hanoi algorithm' to home
Hanoi algorithm' to 'Fun menu'